Finite Group Databasebeta

← #29736739

Subgroups — #29736739

Order 15616.

1052 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840392C211yesmaximal, characteristic, complemented
2C2×#16840120C211yesmaximal, characteristic, complemented
3C2×#16840115C211yesmaximal, characteristic, complemented
4#21451582C211yesmaximal, characteristic
5#21446967C211yesmaximal, characteristic, complemented
6#21446961C211yesmaximal, characteristic, complemented
7#21446955C211yesmaximal, characteristic, complemented
8#21446786C211yesmaximal, characteristic, complemented
9#21446778C211yesmaximal, characteristic, complemented
10#21446138C211yesmaximal, characteristic
11#21446133C211yesmaximal, characteristic
12#21446130C211yesmaximal, characteristic, complemented
13#21446125C211yesmaximal, characteristic, complemented
14#21445584C211yesmaximal, characteristic, complemented
15C61×#2025C211yesmaximal, characteristic, complemented
16#16840392—24no—
17#16840392—24no—
18C2×#14519777C2211yescharacteristic
19C2×#14519776—21no—
20C2×#14519776C2211yescharacteristic
21C2×#14519768C2211yescharacteristic
22C2×#14519767—21no—
23C2×#14519764C2211yescharacteristic
24C2×#14519757—21no—
25C2×#14519757C2211yescharacteristic
26C2×#14519755—21no—
27C2×#14519748C2211yescharacteristic
28C2×#14519735C2211yescharacteristic
29C2×#14519734C2211yescharacteristic
30C2×C4⋊C4×D61C2211yescharacteristic
31#16840120—24no—
32#16840115—24no—
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×#14519689C2211yescharacteristic
40C2×#14519689C2211yescharacteristic
41C2×#14519687C2211yescharacteristic
42C2×C8×Dic61C2211yescharacteristic
43#16839685—21no—
44#16839685—21no—
45#16839677—21no—
46#16839677—21no—
47#16839668C2211yescharacteristic
48#16839631C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55#16839517C2211yescharacteristic
56C2×#125×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C22×Dic122C2311yescharacteristic
66C22×C22⋊D61—21no—
67C22×C4×D61—21no—
68C22×C4×D61C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519777—22no—
72#14519777—22no—
73#14519776—28no—
74#14519776—22no—
75#14519776D414yescomplemented
76#14519768—22no—
77#14519768D414yescomplemented
78#14519767—28no—
79#14519764—22no—
80#14519764—22no—
81#14519757—28no—
82#14519757—22no—
83#14519757—22no—
84#14519755—28no—
85#14519748—22no—
86#14519748—22no—
87#14519735—22no—
88#14519735—22no—
89#14519734—22no—
90#14519734—22no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—21no—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196D411yescharacteristic
103C2×#11758196D411yescharacteristic
104C4⋊C4×D61—22no—
105C4⋊C4×D61—22no—
106C2×C22⋊Dic61—21no—
107C2×C22⋊Dic61—21no—
108C2×C22⋊Dic61—21no—
109C2×#11758198—21no—
110C2×#11758198—21no—
111C2×#11758198D411yescharacteristic
112C2×#11758198D411yescharacteristic
113C2×C4×Dic61—21no—
114C2×C4×Dic61C2311yescharacteristic
115#14519702—22no—
116#14519702—22no—
117#14519700—22no—
118#14519700—22no—
119#14519698—22no—
120#14519698—22no—
121#14519689—22no—
122#14519689—22no—
123#14519687—22no—
124C8×Dic61—22no—
125#14519684—21no—
126#14519684—21no—
127C22×D4×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130#125×C61—22no—
131#125×C61—22no—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61—21no—
138C2×C22⋊C4×C61—21no—
139C2×C42×C61C2311yescharacteristic
140#102×C61—22no—
141#102×C61—22no—
142C24×C61—21no—
143C23×D61C2×D411yescharacteristic
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—42no—
157C2×C22⋊D61—81no—
158C2×C22⋊D61—81no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—24no—
171C2×C4×D61—81no—
172C2×C4×D61—81no—
173C2×C4×D61#4112yes—
174C2×C4×D61#4112yes—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—24no—
182C2×Dic122—24no—
183C2×Dic122—81no—
184C2×Dic122—81no—
185C2×Dic122—81no—
186C2×Dic122—81no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C4⋊C4×C61—24no—
194C4⋊C4×C61—24no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61C2×D412yes—
200C4⋊C4×C61C2×D412yes—
201C22⋊C4×C61—81no—
202C22⋊C4×C61—81no—
203C42×C61—21no—
204C42×C61—21no—
205C22⋊Dic61—42no—
206C22⋊Dic61—42no—
207C22⋊Dic61—42no—
208#11758198—24no—
209#11758198—22no—
210#11758198—22no—
211#11758198—42no—
212C4⋊Dic61—24no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—24no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—42no—
219C4⋊Dic61C2×D412yes—
220C4⋊Dic61C2×D412yes—
221#11758196—24no—
222#11758196—24no—
223#11758196—24no—
224#11758196—22no—
225#11758196—22no—
226#11758196—81no—
227#11758196—81no—
228C4×Dic61—24no—
229C4×Dic61C2×D412yes—
230C4×Dic61C2×D412yes—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61#12412yes—
252D4×C61—41no—
253D4×C61—41no—
254D4×C61—41no—
255D4×C61—41no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C612−1+411yescharacteristic
276C2×C4×C612−1+411yescharacteristic
277C22⋊D61—84no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61#12012yes—
297C2×Dic61#12012yes—
298C2×Dic61#12412yes—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—84no—
304Dic122—41no—
305Dic122—41no—
306Dic122—41no—
307Dic122—41no—
308Dic122—84no—
309Dic122—84no—
310C8×C61—41no—
311C8×C61—41no—
312#92418—41no—
313#92418—41no—
314#25916—611nomaximal, Sylow
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61C2×#12011yescharacteristic
323C22×C61C2×#12411yescharacteristic
324C22×C61#53611yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—41no—
339C4×C61—42no—
340C4×C61—81no—
341C4×C61#54811yescharacteristic
342C4×C61#54811yescharacteristic
343C4×C61#54811yescharacteristic
344C4×C61#54811yescharacteristic
345Dic61—22no—
346Dic61—22no—
347Dic61—22no—
348Dic61—42no—
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352C2×#544—611no—
353C2×#489—611no—
354C2×#488—611no—
355#2620—611no—
356#2026—611no—
357#2025D6111yescharacteristic, complemented
358#2024—611no—
359#2023—611no—
360#1992—611no—
361#1990—611no—
362#1875—611no—
363#1874—611no—
364#1873—611no—
365#1872—611no—
366#1750—611no—
367C2×C61—161no—
368C2×C61#243611yescharacteristic
369C2×C61#301211yescharacteristic
370C2×C61#301311yescharacteristic
371C2×C61#313611yescharacteristic
372C2×C61#313711yescharacteristic
373C2×C61#324311yescharacteristic
374C2×C61#324411yescharacteristic
375D61—42no—
376#544—1224no—
377#544—1224no—
378C2×C4⋊Q8—611no—
379C2×C4⋊Q8—611no—
380C2×C4⋊Q8—1221no—
381C2×#125—611no—
382C2×#125—1221no—
383C2×#125C2×D6111yescharacteristic
384C2×#124—611no—
385C2×C22⋊Q8—611no—
386C2×C22⋊Q8—1221no—
387C2×C22⋊Q8—1221no—
388C2×#121—611no—
389C2×#117—611no—
390C2×#117—611no—
391C22×C4⋊C4—611no—
392#489—1224no—
393#488—1224no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102C2×D6111yescharacteristic
401C2×#102C2×D6111yescharacteristic
402C2×C22⋊C8—611no—
403C2×C22⋊C8—611no—
404C2×#97—611no—
405C2×C4×C8—611no—
406#396—1221no—
407#396—1221no—
408#394—1221no—
409#394—1221no—
410#391—611no—
411#390C2×D6111yescharacteristic
412#384—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340C2×D6111yescharacteristic
420#340C2×D6111yescharacteristic
421#336—611no—
422#336C2×D6111yescharacteristic
423C61#2591611yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—1221no—
426C22×Q8—1221no—
427C22×D4—1221no—
428C22×D4C22×D6111yescharacteristic
429C23×C4—611no—
430C23×C4—1221no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435C4⋊Q8—614no—
436C4⋊Q8—1222no—
437C4⋊Q8—1222no—
438C4⋊Q8—1222no—
439C4⋊Q8—1228no—
440#125—22no—
441#125—22no—
442#125—614no—
443#125—1222no—
444#125—1228no—
445#124—1222no—
446#124—1222no—
447C22⋊Q8—1228no—
448C22⋊Q8—1228no—
449C22⋊Q8—1222no—
450C22⋊Q8—1222no—
451#121—1222no—
452#121—1222no—
453#117—1222no—
454#117—1222no—
455#117—1222no—
456#117—1222no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1222no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C4⋊C4C22×D6111yescharacteristic
476C2×C4⋊C4C22×D6111yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—611no—
480C2×C22⋊C4—611no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C42—611no—
487C2×C42—1221no—
488C2×C42C22×D6111yescharacteristic
489#103—1222no—
490#103—1222no—
491#103—1222no—
492#103—1222no—
493#102—22no—
494#102—22no—
495#102—1222no—
496#102—1222no—
497C22⋊C8—1222no—
498C22⋊C8—1222no—
499#97—1222no—
500C4×C8—1222no—
501#95—1221no—
502#95—1221no—
503C24—21no—
504C24—611no—
505C2×Q8—1224no—
506C2×Q8—1224no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—4881no—
514C2×Q8—4881no—
515C2×Q8—4881no—
516C2×Q8—4881no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—4881no—
524C2×D4—4881no—
525C2×D4—2442no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—1224no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—4881no—
544C22×C4—4881no—
545C22×C4D4×D6111yescharacteristic
546C22×C4D4×D6111yescharacteristic
547C22×C4C23×D6111yescharacteristic
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—612no—
567C4⋊C4—612no—
568C4⋊C4—1222no—
569C4⋊C4—1222no—
570C4⋊C4—1224no—
571C4⋊C4—1224no—
572C4⋊C4—1224no—
573C4⋊C4—1224no—
574C4⋊C4—1224no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—4881no—
580C4⋊C4—4881no—
581C4⋊C4—2442no—
582C4⋊C4D4×D6112yes—
583C4⋊C4D4×D6112yes—
584C22⋊C4—81no—
585C22⋊C4—81no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1224no—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C42—21no—
594C42—21no—
595C42—612no—
596C42—612no—
597C42—1224no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—612no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23C2×D4×D6111yescharacteristic
613Q8—4884no—
614Q8—4884no—
615Q8—2441no—
616Q8—2441no—
617Q8—2441no—
618Q8—2441no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—4884no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—4884no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4#41×D6111yescharacteristic
668C2×C4#41×D6111yescharacteristic
669C2×C4#1451982411yescharacteristic
670C2×C4#1451982511yescharacteristic
671C8—41no—
672C8—41no—
673C8—2441no—
674C8—2441no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—1222no—
683C22—1222no—
684C22—1222no—
685C22—2441no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22#120×D6111yescharacteristic
690C22#124×D6111yescharacteristic
691C22#1684033511yescharacteristic
692C22#1684056611yescharacteristic
693C22#1684056911yescharacteristic
694C22#1684057211yescharacteristic
695C22#1684057611yescharacteristic
696C4—41no—
697C4—42no—
698C4—41no—
699C4—42no—
700C4—81no—
701C4—1222no—
702C4—1222no—
703C4—1222no—
704C4—4881no—
705C4—4881no—
706C4—2442no—
707C4—2442no—
708C4#1684042011yescharacteristic
709C4#1684042011yescharacteristic
710C4#1684042211yescharacteristic
711C4#1684042211yescharacteristic
712C2—161no—
713C2—2442no—
714C2#2144947211yescharacteristic
715C2#2145512111yescharacteristic
716C2#2145513211yescharacteristic
717C2#2145617411yescharacteristic
718C2#2145618311yescharacteristic
719C2#2145710111yescharacteristic
720C2#2145711611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2025C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenter#2025D61
hypocenterC61#25916
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2025

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#16840392C2semidirect
2. C2×#16840120C2semidirect
3. C2×#16840115C2semidirect
5. #21446967C2semidirect
6. #21446961C2semidirect
7. #21446955C2semidirect
8. #21446786C2semidirect
9. #21446778C2semidirect
12. #21446130C2semidirect
13. #21446125C2semidirect
14. #21445584C2semidirect
15. C61×#2025C2semidirect
75. #14519776D4semidirect
77. #14519768D4semidirect
357. #2025D61semidirect
423. C61#25916semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168403922
C2×#168401202
C2×#168401152
#214515822
#214469672
#214469612
#214469552
#214467862
#214467782
#214461382
#214461332
#214461302
#214461252
#214455842
C61×#20252
#2591661